GCF of 3842/138, 5066/5159
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3842/138, 5066/5159 i.e 34/711942 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3842/138, 5066/5159.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 3842/138,5066/5159?
Given fractions are 3842/138,5066/5159
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 3842/138,5066/5159, numerators are 3842,5066
Denominators are 138,5159
The GCF of 3842,5066 is 34 .
LCM of 138,5159 is 711942.
The greatest common factor of 3842/138,5066/5159 = [GCF of 3842,5066]/[LCM of 138,5159]= 34/711942
Therefore, the GCF of 3842/138,5066/5159 is 34/711942.
To find the highest common factor of 3842,5066, we have to find the factors of both numbers and list the highest common factor.
The factors of 3842 are 1, 2, 17, 34, 113, 226, 1921, 3842
The factors of 5066 are 1, 2, 17, 34, 149, 298, 2533, 5066
The HCF of 3842,5066 is 34.
Lets's calculate GCF of 3842,5066
| 2 | 3842, 5066 |
| 17 | 1921, 2533 |
| 113, 149 |
∴ So the GCF of the given numbers is 2 x 17 = 34
Greatest Common Factor of 3842,5066 By Matching Biggest Common Factor Method
Now, list down the factors of 3842
:1,2,17,34,113,226,1921,3842
Now, list down the factors of 5066
:1,2,17,34,149,298,2533,5066
Greatest Common Factor
We found the factors 3842,5066 . The biggest common factor number is the GCF number.
So the greatest common factor 3842,5066 is 34.
Lets's calculate LCM of 138,5159
Given numbers has no common factors except 1. So, there LCM is their product i.e 711942
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 34/711942
Therefore, the GCF of Fractions 3842/138,5066/5159 is 34/711942
Least Common Multiple of 138,5159 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 138,5159 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(138,5159) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(138,5159) x common factors =1 x 1 = 1
LCM(138,5159) = ( 138 × 5159 ) / 1
LCM(138,5159) = 711942 / 1
LCM(138,5159) = 711942
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FAQs on GCF of Fractions of 3842/138, 5066/5159
1. What is the HCF of 3842,5066?
The HCF of 3842,5066 is 34
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 3842/138, 5066/5159?
Answer: GCF of Numerators as per given numbers 3842/138, 5066/5159 is
GCF of Numerators i.e. for 3842,5066 is 34
LCM of denominators i.e. for 138,5159 is 711942.
Thus, GCF of Fractions is 34/711942.Finally, GCF of Fractions for 3842/138, 5066/5159 is 34/711942.